While lots of particle physics models for WIMP candidates are proposed
to account for DM, Wino or Higgsino is one of the well-motivated
candidates among them. They are superpartners of the \(W\)  and Higgs
bosons in supersymmetric models. Motivated by the results of the Large
Hadron Collider, supersymmetric models where supersymmetry breaks at
very-high-energy scales have been revisited as an attractive framework
up to the grand unification scale. Split
supersymmetry [1]}, [2]}, [3]}, [4]},
high-scale supersymmetry [5]}, spread
supersymmetry [6]}, and pure gravity
mediation [7]}, [8]} are the examples. In the
high-scale supersymmetry, pure Wino or pure Higgsino is
the DM candidate. Due to their pure nature, they interact with the SM
particles via the gauge interactions. As a consequence, their
scattering or annihilation cross sections are in principle determined
with small theoretical uncertainties for a given mass. The scattering
cross section of the Wino or Higgsino with nucleons can be determined
at the next-to-leading order level of quantum chromodynamics in a
consistent manner [9]}.See
Refs. [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}
for earlier work. On the other hand, the annihilation process is
associated with the so-called Sommerfeld enhancement that leads to
non-trivial behavior of the annihilation cross section as a function
of mass [19]}, [20]}, [21]}. As a
consequence, 2.7–3.0 TeV mass is predicted to yield the right relic
abundance of the Wino as DM [21]} (See
Ref. [23]} for recent developments.) The Sommerfeld
effect is an issue not just for the Wino or Higgsino, but it can
happen for DM candidates that, for example, interact with a light
mediator via a Yukawa interaction (see Ref. [24]}
for a review). For such DM candidates, accurate predictions of
Sommerfeld-enhanced signals is important in order to detect DM
indirectly using high-energy gamma rays and other cosmic messengers.
